Question

Select all of the possible values of ""r"" for an infinite series that converges:

A.r = 0.5
B.r = 1
C.r = -1
D.r = 1.5

Answer 1

The possible values of r for an infinite series that converges are 0.5, 1, -1, and 1.5.

Step-by-step explanation:

The possible values of r for an infinite series that converges are r = 0.5, r = 1, r = -1, and r = 1.5.

The value of r is always between -1 and +1, meaning -1 ≤ r ≤ 1. If r = 0, there is no linear relationship between x and y. If r = 1, there is perfect positive correlation. If r = -1, there is perfect negative correlation.

Therefore, all the given values of r are within the range -1 to +1 and can be possible values for an infinite series that converges.